Details

sample108.0ms

Algorithm

intervals

Results

28.0ms	208×	body	80	valid
20.0ms	30×	body	640	valid
18.0ms	17×	body	1280	valid
11.0ms	89×	body	80	nan
11.0ms	22×	body	320	valid
3.0ms	9×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2018
6	565
5	220
4	94
3	44
2	25
1	18
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.9b	(log (/ y (+ z y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

48.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
16.0ms	(/ y (+ z y))
17.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
64.0ms	(/ y (+ z y))
104.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify2.4s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
3	4581
2	1058
1	421
0	211

prune704.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))
2.7b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
139×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 203

Calls

4 calls:

3.0ms	(cbrt (+ z y))
5.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
5.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
5.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ z y))
109.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
107.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
115.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.6s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
3	2038
2	728
1	369
0	195

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.0b	(+ (/ (exp (- z)) y) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `distribute-lft-out`

Counts

2 → 60

Calls

2 calls:

10.0ms	(/ (exp (- z)) y)
24.0ms	(+ (/ (exp (- z)) y) x)

series90.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp (- z)) y)
52.0ms	(+ (/ (exp (- z)) y) x)

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	1757
2	560
1	208
0	93

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))
0.3b	(cbrt (/ (exp (- z)) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

32.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
4.0ms	(cbrt (/ (exp (- z)) y))
10.0ms	(cbrt (/ (exp (- z)) y))
4.0ms	(cbrt (/ (exp (- z)) y))

series427.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
72.0ms	(cbrt (/ (exp (- z)) y))
109.0ms	(cbrt (/ (exp (- z)) y))
91.0ms	(cbrt (/ (exp (- z)) y))

simplify1.9s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
3	2487
2	947
1	369
0	187

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.1s	6491×	body	80	valid
888.0ms	3056×	body	80	nan
805.0ms	751×	body	1280	valid
720.0ms	962×	body	640	valid
337.0ms	580×	body	320	valid
122.0ms	280×	body	160	valid